The additional terms \(NK_q(R)\)  are called the Nil-terms, and \(NK_n(R)\)  is defined as the kernel of the homomorphism induced in \(K_q\)  by the homomorphism \(R[t]\rightarrow R\)  which sends \(t\)  to 1. These terms vanish for a regular ring \(R\) , see [1]}.
